Abstract

The measurements of the ratios R_{K^{(*)}} along with R_{D^{(*)}} hint towards lepton flavor non universality which is in disagreement with the standard model. In this work, we reanalyze the four new physics models, which are widely studied in the literature as a candidates for the simultaneous explanations of these measurements. These are, standard model like vector boson (VB), SU(2)_L-singlet vector leptoquark (U_1), SU(2)_L-triplet scalar leptoquark (S_3) and SU(2)_L triplet vector leptoquark (U_3) models. We assume a coupling only to the third generation in the weak basis, so that the b rightarrow s mu ^+ mu ^- transition is generated only via mixing effects. Preforming a global fit to all relevant data, we show that the vector boson model violates the current upper bound on {Br}(tau rightarrow 3mu ) and hence is inconsistent with the present data. Further, we show that within this framework, the U_1 leptoquark model cannot simultaneously accommodate R_{K^{(*)}} and R_{D^{(*)}} measurements. We emphasize that this conclusion is independent of the additional constraints coming from renormaliztion group running effects and high-p_T searches. In addition, we show that the S_3 and U_3 models are highly disfavored by the constraints coming from brightarrow s nu bar{nu } data. Finally, we find a that hypothesis of two LQ particles is also challenged by brightarrow s bar{nu } nu data.

Highlights

  • Moriond 2019, the Belle collaboration has announced new preliminary measurements of RD(∗) using semileponic tag [11]

  • B+ → K +μ+μ− measured by LHCb [70] and CDF [72], 6. the differential branching ratio of Bs0 → φμ+μ− by LHCb [25] and CDF [72] and the angular observables measured by LHCb [25], 7. the differential branching ratio of B → Xsμ+μ− measured by BaBar [73], 8. the recent data by ATLAS [74] and CMS [75] for the angular observables in B0 → K ∗0μ+μ− decay, 9. the measurement of RK (∗) [15,16,17], 10. mass difference ΔMs in Bs-mixing [76], 11. branching ratio of B → K (∗)νν [77], 12. branching ratio of τ → 3μ [63], 13. branching ratio of B → K μτ [78], Page 3 of 10 707

  • We present the result of the fits for the standard model (SM) like vector boson, and U1, S3, U3 LQ models

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Summary

Introduction

Moriond 2019, the Belle collaboration has announced new preliminary measurements of RD(∗) using semileponic tag [11]. In order to identify the Lorentz structure of new physics responsible for various anomalies in the b → sμ+μ− sector, in a model-independent way, there have been a plethora of works in recent times [26,27,28,29,30,31,32,33,34,35,36,37,38,39]. Simultaneous explanation of anomalies in b → sμ+μ− and b → cτ νsector in specific new physics models is bit tricky.

Methodology
New physics models
Results and discussions
Conclusions
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